## Effortlessly Convert Gradians to Degrees with Our Grad to Circle Converter

(Last Updated On: 2024-04-02)

Discover the simplicity of converting gradians to degrees with Newtum's Grad to Circle Converter, a tool designed to provide precise conversions and inspire your curiosity.

### What are Grad and Circle

A grad, also known as a gon or grade, is a unit of angular measurement in which one grad equals one-hundredth of a right angle. This means there are 400 gradians in a full circle, making it an alternative to degrees for representing angles. Its use is less common but it offers simplicity in certain mathematical calculations, particularly in surveying and civil engineering.

Definition of Circle

A circle is a geometric shape consisting of all points in a plane that are at a constant distance, known as the radius, from a central point. It has been significant in various cultures and disciplines throughout history. In geometry, the circle is important for its properties and the mathematical constant π (pi), which relates the circumference of a circle to its diameter.

### Grad to Circle Conversion Table

10g
20g 18°
50g 45°
100g 90°
200g 180°
300g 270°
400g 360°
450g 405°
500g 450°

#### Conversion of Grad to Circle

1g = 0.9°

Example 1:
Convert 100g to degrees:
100g = 100 × 0.9° = 90°

Example 2:
Convert 200g to degrees:
200g = 200 × 0.9° = 180°

### History of Grad and Circle

The Grad to Circle Converter has its roots in the French Revolution, devised as part of the metric system to standardize angular measurements. It simplifies certain mathematical and surveying tasks, although it has become less prevalent with the widespread adoption of the degree in many applications.

### How to use Grad to Circle Converter

• Select the Grad to Circle Converter tool on our website.
• Enter the number of gradians you wish to convert.
• Click the 'Convert' button to see the equivalent in degrees.
• Review the result displayed on the screen.

### Real Life Applications of Grad to Circle

Exploring the Grad to Circle Converter unveils its practical applications in real-world scenarios, sparking interest for further reading.

• Used in land surveying to simplify calculations involving right angles.
• Helpful in civil engineering for plotting road curves or angles of intersection.
• Utilized in education to teach alternative systems of angular measurement.

### Solved Examples grad to °

Example 1: To convert 50 gradians to degrees, you multiply by 0.9, resulting in 45 degrees.

Example 2: Converting 250 gradians to degrees gives you 225 degrees after multiplication.